PoS - Proceedings of Science
Volume 396 - The 38th International Symposium on Lattice Field Theory (LATTICE2021) - Oral presentation
Flavor decomposition for the proton unpolarized, helicity and transversity parton distribution functions
F. Manigrasso*, C. Alexandrou, M. Constantinou, K. Hadjiyiannakou and K. Jansen
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Pre-published on: May 16, 2022
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We present an $\textit{ab initio}$ calculation of the individual up, down, and strange quark unpolarized, helicity, and transversity parton distribution functions for the proton. The calculation is performed within the Wilson twisted mass clover-improved fermion formulation in lattice QCD. We use a $N_f=2+1+1$ gauge ensemble simulated with pion mass $m_\pi\approx 260$~MeV, $m_\pi L\approx 3.8$ and lattice spacing $a \approx 0.0938$~fm. Momentum smearing is employed in order to improve the signal-to-noise ratio, allowing for the computation of the matrix elements up to nucleon boost momentum of $P_3=1.24$~GeV. The lattice matrix elements are non-perturbatively renormalized and the final results are presented in the $\overline{MS}$ scheme at a scale of $2$~GeV (unpolarized and helicity) and $\sqrt{2}$~GeV (transversity).
DOI: https://doi.org/10.22323/1.396.0231
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